TS EAMCET · Physics · Oscillations
The displacements of two particles of same mass executing SHM are represented by the equations \(x_1=4 \sin \left(10 t+\frac{\pi}{6}\right) \text { and } x_2=5 \cos (\omega t) .\) The value of \(\omega\) for which the energies of both the particles remain same is
- A 16 unit
- B 6 unit
- C 4 unit
- D 8 unit
Answer & Solution
Correct Answer
(D) 8 unit
Step-by-step Solution
Detailed explanation
The equation of displacement \(x_1=4 \sin \left(10 t+\frac{\pi}{6}\right)\) The energy of this equation \(E_1=\frac{1}{2} m \omega_1^2 a_1^2\) \(=\frac{1}{2} m \times 10 \times 10 \times 4 \times 4\) The second equation of displacement \(x_2=5 \cos (\omega t)\) The energy of…
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